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Finding the Fourth Proportional to 9,783.39, 14,677.85 and 3,856.62

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Solution

The fourth proportional to 9,783.39, 14,677.85 and 3,856.62 is: 5,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.39 : 14,677.85 = 3,856.62 : x
  2. Step 2: Convert to fraction form
    9,783.39/14,677.85 = 3,856.62/x
  3. Step 3: Cross multiply
    9,783.39x = 14,677.85 × 3,856.62
  4. Step 4: Simplify right side
    9,783.39x = 56,606,889.87
  5. Step 5: Solve for x
    x = 56,606,889.87/9,783.39
  6. Step 6: Final answer
    x = 5,786.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.